Haruki Sakagami,1
Kazumichi Yoshii,1
Takumi Kobayashi,2
and Feng-Lei Hong1,*
1Department of Physics, Graduate School of Engineering Science, Yokohama National University, 79-5 Tokiwadai, Hodogaya-ku, Yokohama 240-8501, Japan
2National Metrology Institute of Japan (NMIJ), National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba, Ibaraki 305-8563, Japan
Haruki Sakagami, Kazumichi Yoshii, Takumi Kobayashi, and Feng-Lei Hong, "Absolute frequency and hyperfine structure of 127I2 transitions at 531.5 nm by precision spectroscopy using a narrow-linewidth diode laser," J. Opt. Soc. Am. B 37, 1027-1034 (2020)
The absolute frequency and hyperfine structure of the $P({98}){34 {\text -} 0}$, $R({38}){32 {\text -} 0}$, $P({35}){32 {\text -} 0}$, $P({112}){35 {\text -} 0}$, $R({75}){33 {\text -} 0}$, $R({37}){32 {\text -} 0}$, and $P({34}){32 {\text -} 0}$ transitions of molecular iodine at 531.5 nm are measured using high-resolution spectroscopy based on a narrow-linewidth planar-waveguide external cavity diode laser. The absolute frequencies of the transitions are determined with an uncertainty of 5.7 kHz, while the hyperfine structures are measured with an uncertainty of $ \lt {1}\;{\rm kHz}$. High-precision hyperfine constants are obtained by fitting the measured hyperfine splittings, with an uncertainty of approximately 1 kHz, to a four-term Hamiltonian that includes the electric quadrupole, spin–rotation, tensor spin–spin, and scalar spin–spin interactions. The measured absolute frequencies and hyperfine structures are useful for optical frequency metrology and studies of molecular iodine.
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All values are in kHz. SD is the standard deviation of the fit.
Values are excluded from the fit.
Table 3.
Observed and Calculated Hyperfine Splittings of the Odd Number Transitionsab
Obs.
Cal.
Obs.
Cal.
Obs.
Cal.
()
0.0
−0.8
0.0
−0.9
0.0
−1.3
()
37056.2
37055.9
46784.3
46783.2
-
37950.2
()
71354.5
71355.3
91785.4
91785.3
73250.8
73250.5
()
259842.7
259842.3
279302.3
279302.6
261340.9
261340.9
()
317390.7
317390.5
329223.7
329224.2
318973.7
318972.8
()
328222.4
328222.7
335639.9
335639.9
328454.6
328454.3
()
382149.4
382149.3
383728.2
383728.3
382644.0
382644.4
()
430493.5
430495.3
442940.1
442941.1
431669.7
431671.3
()
456295.6
456296.0
459536.5
459538.1
456702.2
456702.0
()
472779.8
472781.9
490356.2
490356.7
474374.7
474375.4
()
488285.0
488285.3
504371.2
504371.6
489857.1
489857.7
()
566663.5
566662.2
579391.6
579391.5
567587.4
567587.6
()
608008.3
608007.5
618003.6
618004.1
608972.5
608973.2
()
657460.7
657459.7
658032.1
658032.0
657814.0
657814.6
()
699582.0
699582.9
725033.3
725033.3
701641.4
701642.6
()
734595.3
734593.6
748044.3
748042.9
735860.5
735860.3
()
762483.7
762481.7
772551.3
772550.6
763525.0
763525.0
()
797386.3
797385.1
-
794846.0
797563.8
797564.5
()
873909.2
873912.4
888410.1
888409.8
875174.1
875175.3
()
889721.5
889722.7
902471.6
902471.2
890984.6
890983.4
()
912267.3
912266.5
918557.0
918557.2
913054.0
913050.6
SD
1.4
0.8
1.3
All values are in kHz. SD is the standard deviation of the fit.
The $R({75}){33 {\text -} 0}:{a_{18}}$ and $R({37}){32 {\text -} 0}:{b_2}$ hyperfine components were not measured because of spectral overlapping.
All values are in kHz. SD is the standard deviation of the fit.
Values are excluded from the fit.
Table 3.
Observed and Calculated Hyperfine Splittings of the Odd Number Transitionsab
Obs.
Cal.
Obs.
Cal.
Obs.
Cal.
()
0.0
−0.8
0.0
−0.9
0.0
−1.3
()
37056.2
37055.9
46784.3
46783.2
-
37950.2
()
71354.5
71355.3
91785.4
91785.3
73250.8
73250.5
()
259842.7
259842.3
279302.3
279302.6
261340.9
261340.9
()
317390.7
317390.5
329223.7
329224.2
318973.7
318972.8
()
328222.4
328222.7
335639.9
335639.9
328454.6
328454.3
()
382149.4
382149.3
383728.2
383728.3
382644.0
382644.4
()
430493.5
430495.3
442940.1
442941.1
431669.7
431671.3
()
456295.6
456296.0
459536.5
459538.1
456702.2
456702.0
()
472779.8
472781.9
490356.2
490356.7
474374.7
474375.4
()
488285.0
488285.3
504371.2
504371.6
489857.1
489857.7
()
566663.5
566662.2
579391.6
579391.5
567587.4
567587.6
()
608008.3
608007.5
618003.6
618004.1
608972.5
608973.2
()
657460.7
657459.7
658032.1
658032.0
657814.0
657814.6
()
699582.0
699582.9
725033.3
725033.3
701641.4
701642.6
()
734595.3
734593.6
748044.3
748042.9
735860.5
735860.3
()
762483.7
762481.7
772551.3
772550.6
763525.0
763525.0
()
797386.3
797385.1
-
794846.0
797563.8
797564.5
()
873909.2
873912.4
888410.1
888409.8
875174.1
875175.3
()
889721.5
889722.7
902471.6
902471.2
890984.6
890983.4
()
912267.3
912266.5
918557.0
918557.2
913054.0
913050.6
SD
1.4
0.8
1.3
All values are in kHz. SD is the standard deviation of the fit.
The $R({75}){33 {\text -} 0}:{a_{18}}$ and $R({37}){32 {\text -} 0}:{b_2}$ hyperfine components were not measured because of spectral overlapping.